#include <cstdlib>
#include <cctype>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <algorithm>
#include <vector>
#include <string>
#include <iostream>
#include <sstream>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <ctime>
using namespace std;
typedef long long ll;
#define clr(x,a) memset(x,a,sizeof(x))
#define sz(x) (int)x.size()
#define see(x) cerr<<#x<<" "<<x<<endl
#define se(x) cerr<<" "<<x 
#define pb push_back
#define mp make_pair

int main()
{
    frepen("in","r",stdin);
    int i,j,k;
}
